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Find the direction cosines of the line j...

Find the direction cosines of the line joining the following points :
(i) `A(2,-1,3), B(3,1.1)`
( ii) `A(2,-1,2), B(-4,2,0)`
(iii) `A(4,3,-5), B(-2,1,-8)`

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The correct Answer is:
(i) `1/3,2/3,-2/3` , (ii) `-6/7,3/7,-2/7` , (iii) `-6/7,-2/7,-3/7`
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NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Exercise 11 A
  1. Can a line make angle 45^(@), 60^(@), 120^(@) with x-,y- and z-axes re...

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  2. Find the direction cosines of that line whose direction ratios are as ...

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  3. Find the direction cosines of the line joining the following points : ...

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  4. Show that the point A(2,-3,-4), B(1,2,3), C(3,-8,-11) are collinear.

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  5. Find the angle between those lines whose direction ratios are as foll...

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  6. Find the angle between the following vectors : (i) veca = 2hati-6ha...

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  7. Show that the joint of the points (1,2,3), (4,5,7) is parallel to the ...

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  8. If the co-ordinates of four points in space are A(6,-6,0), B(-1,-7,6),...

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  9. If vec r is a vector of magnitude 21 and has direction ratios 2,-3...

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  10. Find the angles which the following vectors, makes form the co-ordinat...

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  11. Find the angle between the lines whose direction cosines are given by ...

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  12. Prove that the lines whose directioncosines are given by the equtions ...

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  13. If the direction cosines of two lines are l(1), m(1), n(1) and l(2), m...

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  14. Find the angel between any two diagonals of a cube.

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  15. Find the angle between two lines whose direction ratios are proport...

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  16. Find the angles of a triangle whose verties are A(3,2,1), B(35,2) and ...

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  17. If a line makes angles 90o," "135o," "45o with the x, y and z-axes ...

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  18. Find the direction cosines of a line which makes equal angles with ...

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  19. If a line has the direction ratios 18 , 12 , 4, then what are its ...

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  20. Show that the points (2,3,4),(-1,-2,1),(5,8,7) are collinear.

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